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Curriculum overview 2022_23 MATHS uploaded and on website

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Retrieval Practice by @Mroberts90Matt

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Screen capture of the Rosenshine Masterclass slides in five key videos plus an introduction.

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The NCETM Maths Podcast, from the National Centre for Excellence in the Teaching of Mathematics, invites teachers, maths experts and anyone with a passion for teaching maths to talk about topics that shine a light on great maths teaching. With ideas for classroom activities, inspirational stories of careers in maths, and lively debates on contemporary topics, the NCETM podcast has something for everyone. Listen wherever you get your podcasts.

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The NCETM Maths Podcast | a podcast by NCETM

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The NCETM Maths Podcast, from the National Centre for Excellence in the Teaching of Mathematics, invites teachers, maths experts and anyone with a passion for teaching maths to talk about topics that shine a light on great maths teaching. With ideas for cl...

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Catch up with all our department news.

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Tweets by MathsBrooklands

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SlidesCarnival: Free PowerPoint & Google Slides Templates That Stand Out

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Captivate your audience with our collection of professionally-designed PowerPoint and Google Slides templates. Boost your presentations and make a lasting impression!

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In 2016, I attended #MathsConf7 in Leeds. The outcome? A to-do list longer than my arm as I intended to create a textbook of exercises of increasingly difficult questions to improve upon the standard…

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UKMT Problem Solving Questions on Colmanweb

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Great maths enrichment material: individual UKMT Senior Challenge questions arranged by topic. Try single questions or sets arranged by topic.

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We've split the curriculum up into a small number of areas - we call these 'spines' -

Spine 1: Number, Addition and Subtraction,

Spine 2: Multiplication and Division and

Spine 3: Fractions.

Each spine is composed of a number of segments, and we've provided a recommended teaching sequence for segments across the three spines.

An explanation of the structure of these materials, with guidance on how teachers can use them, is contained in a Getting Started video we've put together for you.

Unlike a textbook scheme they are not designed to be directly lifted and used as teaching materials. The materials can support teachers to develop their subject and pedagogical knowledge and so help to improve mathematics teaching in combination with other high-quality resources, such as textbooks.

You can find out how one primary school is using the materials in this article.

In addition to the materials themselves, we have also interviewed a range of teachers who have been using the materials, and they tell us how it is going.

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Primary materials that will assist you in your professional development and enable you to deliver teaching for mastery with confidence

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Maths Transition by Keranjit Kaur

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Many primary school teachers will be considering how to prepare the Year 6 children for secondary school especially after the disruption over the last four terms. The NCETM have gathered ideas about preparing pupils for transition. These have been collated from the NCETM Tuesday evening #mathscpdchat Twitter discussions. Read more on the NCETM website What maths shall we do with Year 6 this term?

You may remember in the March Maths Update I mentioned that White Rose Maths were hoping to share projects for Year 6 which would revisit many of the skills and curriculum content covered in Key Stage 2 in real life contexts. Good news! The first one has just been released. It is called White Rose Bakery There are activities with answers, videos and guidance. On the Premium Resources section of the website there are editable teaching slides. The resources look brilliant.

The Mathematics Education Innovation have free 'Supporting Key Stage 2 to 3 Transition in Maths' webinars on different areas of maths including fractions, ratio and place value. The next webinar is about angles on Thursday 24 June from 4 - 4.45. Don't worry if you can't make it, the previous webinars are all available via the link. Primary KS2 to KS3 Transition

STEM Learning have shared a Year 6 to Year 7 transition project called The Polar Express! The aim is to enable children to develop a range of STEM skills. There is a suggested timetable and suggested activities. The project is designed to be taught by both primary and secondary staff. The Polar Express

Calculator Crunch 2021

Continuing with the theme of transition, MEI (Mathematics in Education and Industry) have built some resources to support transition too! We all know that in 2014 with the updated curriculum, the calculator paper went. The Calculator Crunch challenge has been created to encourage Year 6 children to use calculators and have fun.

https://mei.org.uk/?section=news&page=latest&newsid=785

The challenges will be released daily on Twitter, Facebook and the MEI website between Monday 21 st June and Thursday 1 st July.

Numberfit

Numberfit have a Mathematics World Cup for 7-11 year olds for the week beginning June 14 th. It will be the first global, physically active Mathematics World Cup Competition. Numberfit aim to combine maths, movement and mindfulness. Register for the competition, it's free! https://www.numberfit.com/worldcup/

Early Number Sense

This Espresso from Cambridge Mathematics is from 2017. What is number sense? How does it impact learning? How can we improve children's number sense? Read this Espresso to find out the answers to all of these questions and much more! Early Number Sense Espresso

Exploring Factors and Multiples

NRICH have a special feature about factors and multiples. Developing number sense is so vital to learning maths well and feeling like a mathematician. Follow the link to discover tasks that will help children to develop a better understanding of properties of numbers and the relationships between them. Click the image below to access the feature. https://nrich.maths.org/14859

Image from NRICH website

More Podcasts
Maths is Figure-Out-Able
Pam Harris (@pwharris) has over 40 podcasts available from mentoring mathematicians to multiplication facts.

Katie Steckles and Peter Rowlett chat about some aspect of maths using a mathematical object as inspiration.

You may download this maths update to read or share with colleagues

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Transition, Transition, Transition! Many primary school teachers will be considering how to prepare the Year 6 children for secondary school especially after the disruption over the last four terms. The NCETM have gathered ideas about preparing pupils for transition. These have been collated from the NCETM Tuesday evening #mathscpdchat Twitter discussions.

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Credit Grace Hudson @MissH_biology

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Mr Barton Maths Podcast

The Mr Barton Maths Podcast consists of long-form conversations with people from the wonderful world of education who interest and inspire me. Links to the show notes of every episode I have recorded are below, and you can also visit the Mr Barton Maths podcast website for collections of episodes and information how to sponsor the show

Happy listening!

#001 Andrew Taylor: Head of Maths at AQA

#002 Graham Cumming: Head of Maths at Edexcel

#003 Neil Ogden: Maths Specialist at OCR

#004 Oxbridge Interview Special

#005 Jo Morgan: Resourceaholic

#006 Mel Muldowney: JustMaths

#007 Bruno Reddy: Times Table Rockstars and MrReddy.com

#008 Charlie Stripp: NCETM and MEI

#009 Dan Meyer: 3 Act Math Desmos TED Talk and more!

#010 Will Emeny: Great Maths Teaching Ideas and Numeracy Ninjas

#011 Stefanie Sullivan: Maths PGCE Tutor from Nottingham University

#012 Mark McCourt: Ofsted, emaths, La Salle Education, NCETM and more!

#013 Jamie Frost: Dr Frost Maths and Teaching High Achievers

#014 Beth Lilley: NQT

#015 Ed Southall - Part 1: SolveMyMaths and Mathematics PGCE Tutor

#016 Dylan Wiliam: Author, Researcher Trainer and Assessment for Learning Expert

#017 John Corbett: Flipped Learning, Videos and Corbett Maths

#018 Tom Bennett: Behaviour Teacher Workload and ResearchEd

#019 Paul Rowlandson: Bar Modelling, Questioning, Shanghai, Tokyo & Training Teachers

#020 Greg Ashman: Cognitive Load Theory and Direct Instruction vs Inquiry-Based Learning

#021 Daisy Christodoulou: Assessment Multiple Choice Questions 7 Myths about Education

#022 Dani Quinn - Part 2: Michaela School, Behaviour, Drills & Culture

#023 Robert and Elizabeth Bjork: Memory, Forgetting, Testing & Desirable Difficulties

#024 Kris Boulton - Part 1: Planning Lessons, Engelmann and Differentiation

#025 Ed Southall - Part 2: Maths Puzzles and Lessons from Japan

#026 Nick Rose: Mindset, Misconceptions & Differentiation

#027 Chief Examiner Trevor Senior: How GCSE Maths exams are written

#028 Primary School Teacher Rachel Webster: How your Year 7s have been taught maths

#029 Andrew Blair: Inquiry Maths

#030 Andrew Blair: prequel: Inquiries and being a Head of Department

#031 Kris Boulton - Part 2: Minimally guided instruction, Understanding & How before Why

#032 Lucy Rycroft-Smith: Cambridge Mathematics, Setting, Times Tables & Anxiety

#033 Peps Mccrea: Planning, Memorable Teaching & Teacher Expertise

#034 Doug Lemov: Teach like a Champion and Top Tips for delivering training

#035 Colin Foster: Mathematical Etudes, Confidence & Questioning

#036 Carl Hendrick and Robin Macpherson: What does this look like in the classroom?

#037 Jane Jones: Ofsted, observations, marking & reasoning

#038 Amir Arezoo: Lean maths departments, deep work & schemes of work

#039 Helen Hindle: Mixed attainment teaching and growth mindset

#040 Anne Watson and John Mason: Variation, questioning, visualising & developing mathematical thinkers

#041 Conference Takeaways: MathsConf14

#042 Oliver Lovell: Planning, running a maths department & Cognitive Load Theory

#043 Conference Takeaways: researchEd Blackpool 2018

#044 Conference Takeaways: BCME: Day 1

#045 Conference Takeaways: BCME: Day 2

#046 Conference Takeaways: BCME: Day 3

#047 Conference Takeaways: BCME: Day 4

#048 Lucy Crehan: Cleverlands

#049 Alison Kiddle and Charlie Gilderdale: NRICH

#050 Dylan Wiliam - the return! Creating the Schools our Children need

#051 Conference Takeaways: Comparative Judgement: with a cameo from Daisy Christodoulou!

#052 Harry Fletcher-Wood: Responsive Teaching

#053 Conference Takeaways: researchEd Rugby

#054 Tom Sherrington: The Learning Rainforest

#055 GCSE Maths Exam special: Graham Cumming and Karen Wilkinson

#056 Conference Takeaways: Festival of Education: Day 2

#057 Conference Takeaways: MathsConf15

#058 Conference Takeaways: JustMaths Conference 2018

#059 Slice of Advice 2018: What did you learn this year?

#060 Greg Ashman: The Truth about Teaching

#061 Slice of Advice: What does the first lesson with your class look like?

#062 Simon Singh: Fermat's Last Theorem and stretching high-attainers

#063 Jeremy Hodgen: Teaching low-attaining students relevance and fingers!

#064 Conference Takeaways: researchED Scotland: September 2018

#065 Conference Takeaways: MathsConf16: Glasgow

#066 Hannah Fry: algorithms, love and being a mathematician

#067 Bernie Westacott: Teaching maths with visuals and manipulatives

#068 Becky Allen: Workload, happiness, expertise, progress & pupil premium

#069 Helen Williams: Early Years teaching and manipulatives

#070 Jo Morgan: 100th Maths Gems Special

#071 David Didau: Making kids cleverer

#072 Chris Smith: Injecting fun into lessons, Resources. Pi Day & Revision Days

#073 Naveen Rizvi: Scripted lessons examples and social media

#074 Jemma Sherwood - Part 1: Sequences of lessons and the importance of silence

#075 Alex Quigley: Closing the vocabulary gap

#076 Conference Takeaways: researchEd Blackpool 2019

#077 Conference Takeaways: Educating Northants 2019

#078 Peter Mattock: Visible Maths, planning lessons & running a department

#079 Conference Takeaways: ATM/MA 2019 Conference: Day 1

#080 Conference Takeaways: ATM/MA 2019 Conference: Day 2

#081 Inside Exams: Episode 1: Language

#082 Mark McCourt - the return! Teaching for mastery

#083 Michael Pershan: Example-Problem Pairs, problem solving & moving schools

#084 Chris McGrane: Task design and changing your mind

#085 Jonny Griffiths: RISPs problem solving and mental health

#086 Conference Takeaways: MEI Maths Conference 2019

#087 Tom Sherrington: Rosenshine's Principles in Action

#088 Slice of Advice 2019: What did you learn this year?

#089 The Science of Learning: 77 Studies That Every Teacher Needs to Know

#090 Rob Eastaway: Estimation, perception of maths & the importance of haha

#091 Multiple Choice Questions on trial with AQA's Zeek Sweiry

#092 Julia Smith: Teaching GCSE resit and the 5Rs approach

#093 Alex Bellos: Puzzles, Perception and Pool Tables

#094 Emma McCrea: Making every maths lesson count and training teachers

#095 Topics in Depth: Indices with Jo Morgan

#096 Tom Francome: Supporting novice teachers and planning lessons

#097 Exam malpractice: Inside Exams with AQA

#098 Kris Boulton - Part 3: Is cognitive science almost useless for designing effective teaching?

#099 Topics in Depth: Angles and parallel lines with Jo Morgan

#100 Daisy Christodoulou: Teachers vs Tech!

#101 Conference Takeaways: MathsConf22: Manchester: March 2020

#102 Special episode: Online learning during the Covid-19 outbreak

#103 Teaching from Home: Ben Rooney: structure, social interactions and experimenting with technology

#104 Teaching from Home: Michael Pershan: Zoom, Assessment for Learning and a careful choice of questions

#105 Teaching from Home: Jo Morgan: Hegarty Maths, family life and why she will not be doing live lessons

#106 Teaching from Home: Dan Pearcy: Google Meets, Poll Everywhere and 5 principles for remote teaching

#107 Teaching from Home: Adam Boxer: retrieval, conducting interviews and staying safe and sane

#108 Teaching from Home: Jon Hutchinson: making videos for primary school students

#109 Paul Kirschner and Carl Hendrick: How learning happens

#110 Teaching from Home: Helen Williams: supporting Early Years students

#111 Teaching from Home: Jules Daulby: supporting students with Special Educational Needs

#112 Teaching from Home: Ollie Lovell and Bryn Humberstone: Checking for understanding, Desmos and lessons learned

#113 Teaching from Home: Jamie Frost: Dr Frost Maths and virtual whiteboards

#114 Robert Kaplinsky: Depth of Knowledge, Open Middle Problems and effective CPD

#115 Mark Healy - Part 1: Cognitive science versus cognitive psychology

#116 Conference Takeaways: MathsConf23 (online!)

#117 Jonathan Hall: MathsBot, teaching visually and behaving mathematically

#118 Adele Bates: Behaviour and relationships

#119 Jemma Sherwood: Part 2: Preparing for September 2020 & being a Head of Department

#120 Mark Healy - Part 2: Sleep, growth mindset and teaching amid Covid-19

#121 Conference Takeaways: MathsConf24 (online!)

#122 Jo Morgan: Teaching Key Stage 3 maths

#123 Peps McCrea: Motivated teaching

#124 Research in Action 1: Language and Dyscalculia with Julia Bahnmuller

#125 Research in Action 2: Parental engagement with Tim Jay

#126 Research in Action 3: Estimation, equals and working memory with Iro Xenidou-Dervou

#127 Research in Action 4: Maths anxiety with Kelly Trezise

#128 Research in Action 5: Fingers and game-based apps with Korbinian Moeller

#129 Research in Action 6: Cognitive Load Theory with Ouhao Chen

#130 Research in Action 7: Designing and interpreting educational research with Matthew Inglis

#131 Research in Action 8: Numbers and space with Krzysztof Cipora

#132 Research in Action 9: PhDs and maths textbooks with Beth Woollacott

#133 Research in Action 10: When to tell and teaching algebra with Dave Hewitt

#134 Ollie Lovell: Cognitive Load Theory in Action

#135 Jo Morgan: tips and resources for teaching online

#136 CLASSIC EPISODE (April 2017): Dani Quinn - Part 1: Michaela School Planning Lessons Low Stakes Tests

#137 Doug Lemov: Tips for the return to classrooms

#138 Michael Pershan: Teaching with worked examples: part 1

#139 Michael Pershan: Teaching with worked examples: part 2

#140 Conference Takeaways: Mathematical Association Conference 2021: Day 1

#141 Conference Takeaways: Mathematical Association Conference 2021: Day 2

#142 Conference Takeaways: Mathematical Association Conference 2021: Day 3

#143 Anne Watson and Kris Boulton in conversation

#144 Christian Bokhove: Coherence, textbooks and research best bets

#145 Research in Action 11: University transition and oral assessments with Paola Iannone

#146 Research in Action 12: Inquiry as a way of being with Barbara Jaworski

#147 Research in Action 13: The self-explanation effect and how experts read maths differently with Lara Alcock

#148 Research in Action 14: Counting in the animal kingdom with Krzysztof Cipora

#149 Research in Action 15: Children's early understanding of number with Francesco Sella

#150 Research in Action 16: Writing a maths curriculum with Colin Foster

#151 Research in Action 17: Executive function with Camilla Gilmore

#152 Research in Action 18: Comparative judgement with Ian Jones

#153 Research in Action 19: Teaching mixed-attainment with Tom Francome

#154 Tom Harbour: engaging parents in their children's learning

#155 Jo Morgan: depth and sequencing of the maths curriculum

#156 Paul Rowlandson: Getting mixed up with interleaving

#157 Dan Draper: Overlearning and conceptual leaps

#158 Adam Boxer: explanations, retrieval and maths & science working together

#159 Introducing... Tips for Teachers!

#160 Ollie Lovell: relations regulation leadership & tools for teachers

#161 The future of the Mr Barton Maths podcast

#162 Beyond survival: a conversation with Jamie Thom

#163 How to observe a lesson with Adam Boxer

#164 How to plan a maths lesson with Craig Latimir

#165 How to be more evidence-informed with Peps Mcrea

#166 Tools and Tips for Teachers: Episode 1

#167 Tools and Tips for Teachers: Episode 2

#168 How to lead a maths department with Femi Adeniran and Matt Findlay

#169 Tools and Tips for Teachers: Episode 3 (with Ollie Lovell)

#170 How to secure 100% student engagement with Pritesh Raichura

#171 Tools and Tips for Teachers: Episode 4 (with Ollie Lovell)

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Mr Barton Maths Podcast The Mr Barton Maths Podcast consists of long-form conversations with people from the wonderful world of education who interest and inspire me. Links to the show notes of every episode I have recorded are below, and you can also visit the Mr Barton Maths podcast website for collections of episodes and information how to sponsor the show Happy listening!

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Free Icons and Stickers - Millions of images to download

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Download Free Icons and Stickers for your projects. Images made by and for designers in PNG, SVG, EPS, PSD and CSS formats

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Materials that will assist you in your professional development and support you in teaching for mastery with confidence

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Blog - An area to share thoughts and ideas

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Writing a blog has been something I've been meaning to do for a long time, mainly to capture my thoughts and ideas in relation to teaching maths ...

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BBC Radio 4 - More or Less: Behind the Stats - Downloads

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Podcast downloads for More or Less: Behind the Stats

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.
Watch the video to learn how sharing works.

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.

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Bold, bright and beautiful ideas for mathematics teaching, learning and play. Here you will find resources for mathematical art activities, ideas for classroom display, and suggestions for using origami in mathematics lessons.

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Working with the Maths Hubs programme, we have produced a set of questions, tasks and activities supporting teaching for mastery. These are mapped against the key topics of the primary National Curriculum for maths. They will help you assess the degree to which your pupils have mastered the curriculum.

The materials have been produced in collaboration with Oxford University Press. They are available for each of Years 1 to 6 inclusive.

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Questions, tasks and activities supporting teaching for mastery.

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Credit Grace Hudson @MissH_biology

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Sarah Farrell

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Welcome to the teacher area of the website. Here you will find a wide range of resources to support teaching and learning of Mathematics. You can navigate the teacher area using the menu on the left-hand side of the page.

Classroom Resources

Planning Resources

In school support

The PDST Post Primary Maths Team will continue to deliver high-quality support for the 2022 - 2023 school year. We will be delivering a suite of workshops for Maths Teaching and Learning and carrying out school visits to support Maths departments. For more information see the links below:

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Welcome to the teacher area of the website. Here you will find a wide range of resources to support teaching and learning of Mathematics. You can navigate the teacher area using the menu on the left-hand side of the page. The PDST Post Primary Maths Team will continue to deliver high-quality support for the 2022 - 2023 school year.

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Materials to support you and your colleagues in assessing students at KS3

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On this episode of the Mr Barton Maths Podcast I spoke to Mel Muldowney, better known as Mel from the JustMaths website and blog. I have been huge fan of Mel's work for a good few years now. Her blog posts are inspiring, engaging and provocative all in one, and the workshop she and her colleague Chris Seager gave at the Edexcel Conference in Warwick last summer was one of the best I have ever attended.

I asked Mel loads of things, including:

How does she plan her lessons, and how does this lead to successful behaviour management?

Can she describe a lesson that did not go to plan, and what did she learn from it - and her candid answer propels me to exorcise a few lesson demons as well!

How difficult did she find the move to a new school?

What are the most successful strategies that her and Seager have implemented in their maths department?

How are Mel's school reporting data on students in Years 7 to 10?

I am obviously completely biased, but I think this is a cracking listen. I was blown away by Mel's honestly, openness and passion for her job. I hope you agree.

Mel's excellent JustMaths website and blog can be found here: http://justmaths.co.uk/

And on Twitter she is @Just_Maths

Mel's Big 3:
Making a difference: http://justmaths.co.uk/2015/03/07/4766/
Moving to a new school: http://justmaths.co.uk/2015/10/15/get-cape/
New Maths GCSE Questions by Topic:
Both Tiers: http://justmaths.co.uk/2016/01/03/9-1-exam-questions-by-topic-both-tiers/
Higher: http://justmaths.co.uk/2015/12/21/9-1-exam-questions-by-topic-higher-tier/
Foundation: http://justmaths.co.uk/2015/11/29/9-1-exam-questions-by-topic-foundation-version-2/

***

My usual plugs:

Thanks so much for listening, and I really hope you enjoy the show!
Craig Barton

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Mel Muldowney - JustMaths - Mr Barton Maths Blog

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On this episode of the Mr Barton Maths Podcast I spoke to Mel Muldowney, better known as Mel from the JustMaths website and blog. I have been huge fan of Mel's work for a good few years now.

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Credit Grace Hudson @MissH_biology

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Maths for Primary and Secondary

Resources for students and teachers

Access hundreds of quizzes and other interactive activities that will help you enjoy and improve your maths whether you are at school or at home. There are thousands of carefully designed questions to improve maths knowledge and help develop fluency in important maths skills. These activities, developed for ks1 up to GCSE, have been helping students to better their target grades for more than ten years.

You can access the activities for free, but if you sign up for an account activities will be grouped together by topic and your scores for the interactive games and quizzes will be saved so that you can keep track of your progress.

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Popular with both teachers and students, the questions in these free maths resources are carefully crafted and include the answers. They are designed to help students to take the first steps in each topic, then strengthen and extend their knowledge and skills. The resources include revision questions for KS2 SATs and GCSE.

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Bobby Seagull and Susan Okereke are two maths fans on a mission to make maths more accessible to everyone! The Maths Appeal podcast features discussions about key maths topics, maths puzzles and interviews with maths champions from the worlds of tech, entertainment, comedy and education.Maths Appeal is an independent project created by Bobby Seagull, Susan Okereke and producer Jenny Nelson. The music is written and performed by Kele Okereke and the logo design is by Calixte Davis.
Hosted on Acast. See acast.com/privacy for more information.

Bobby Seagull and Susan Okereke are two maths fans on a mission to make maths more accessible to everyone! The Maths Appeal podcast features discussions about key maths topics, maths puzzles and interviews with maths champions from the worlds of tech, entertainment, comedy and education.Maths Appeal is an independent project created by Bobby Seagull, Susan Okereke and producer Jenny Nelson. The music is written and performed by Kele Okereke and the logo design is by Calixte Davis.
Hosted on Acast. See acast.com/privacy for more information.

Simply fabulous

Love everything about the podcasts and I have learned so much. The presenter's are so energetic and positive. Make some more please.

Perfect for multitasking

I'm a new mature maths student who's been desperately looking for audio material to soak up while working. This provides me with tons of concise and interesting conversation to make me feel like I'm learning without having to pick up a pen and pad.

Hope it continues for a long time. Thank you!

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Bobby Seagull and Susan Okereke are two maths fans on a mission to make maths more accessible to everyone! The Maths Appeal podcast features discussions about key maths topics, maths puzzles and interviews with maths champions from the worlds of tech, entertainment, comedy and education.Maths Appeal...

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Carys Williams

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We have recently launched a new website. Many of the old links won't work and it could be a while before all the links to our site via search engines are up-to-date. If you have arrived here expecting specific content as a result of the link you clicked or the search you made, please try the search tool above - you should quickly find what you're looking for.

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Try one of our mathematical crafts!

Below you will find all the Maths Craft handouts from our events, and more. You are free to use our resources so long as you don't change anything or commercialise them. For more details, please see our licence.

Menger Sponge

Fractals are mathematical objects built from repeated copies of themselves. Create a fractal sculpture from business cards. Start by making single cubes, and then assemble them into a sculpture representing a Menger Sponge. Then use our cladding to make it look like a higher-level Menger Sponge. Maths Craft have also made some instructional videos on building a Menger sponge.

Are you a New Zealand maths teacher?

Want to build a Menger sponge in your maths class? Maths Craft in a Box is an entirely free, self-contained box dedicated to exploring the fascinating world of fractals in the classroom. Sign up to be notified about the next release.

Möbius Strips

A Möbius strip is a surprising object; it's a surface with only one edge and one side. Start with our instructions for making and investigating paper Möbius strips. You can even make entwined Möbius hearts.

Licence

All Maths Craft New Zealand handouts are available under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence. The Maths Craft New Zealand handouts are free to be used at home or in a classroom. By using these handouts, you agree not to use the Maths Craft New Zealand branding for your own products or events, nor to package or distribute our material in any format, even if you do so for free. If you're not sure what the license and agreement allows, please get in touch; we'd love to hear from you.

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Below you will find all the Maths Craft handouts from our events, and more. You are free to use our resources so long as you don't change anything or commercialise them. For more details, please see our licence. Fractals are mathematical objects built from repeated copies of themselves.

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One of the first projects undertaken by the Maths Hubs programme, launched in summer 2014, was the England-China school exchange, involving primary teachers in the school year 2014-15, and secondary teachers in the current school year, 2015-16. In both these exchanges, English teachers visit Shanghai for a fortnight and are immersed in a number of schools there, and then their exchange partner teachers from those schools come to England for a month and teach maths in the English teachers' schools alongside their partners.

On 23 and 24 June 2015, the 71 teachers from the 47 lead primary schools (the LPS) who participated in the first year of the exchange gathered at the National College for Teaching and Leadership; together, they had hosted 55 Shanghai exchange teachers in their schools. They brought to Nottingham and shared with each other what they had learned from the exchange so far, and they also set out their plans for embedding and extending their knowledge in the coming academic year, in their own and also in their local partner schools.

One session of the conference focused in detail on "calculation guidance"; the purpose was to produce a list of recommendations and effective practice teaching ideas developed during and after the exchange visits. This document summarises and synthesises the discussions that took place and the reflections that were shared by the LPS teachers, and also draws on the two written reports submitted by each LPS during 2014-15. This is not intended to be a calculation policy as such; rather, it could sit alongside a school's existing policy, and the ideas captured here (which are indicative and not exhaustive) could inform and enhance teaching across all primary key stages.

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Recommendations and effective practice teaching ideas

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Skip to main content

search

If you've arrived at this page looking for activities that will help you to develop your mathematical thinking skills, you may be interested in our new Thinking Mathematically Collection.

Are you a student who likes to think about mathematical problems?

Why not test and develop your skills with this special selection of NRICH problems? They have been chosen because they only make use of simple mathematical concepts (the sort encountered as some point early in Stage 3): the emphasis is on the thinking rather than the knowledge.

Why not print out the table and tick off the problems you have solved? Will you be able to crack them all? Don't forget, if you get stuck you can look at the Hint or Solution at the top of each problem.

Happy solving!

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On this page we give a selection of good starter activities for those new to NRICH

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Marcus du Sautoy - Brief History of Maths

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Marcus du Sautoy - Brief History of Maths

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BBC Radio 4 Extra - A Brief History of Mathematics - Downloads

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Podcast downloads for A Brief History of Mathematics

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If The World Were 100 People | GOOD Data

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Click on number line to zoom in, shift-click to zoom out.
Click at left or right to scroll.

Learn About Numbers

See that numbers behave the same, whether they are 1, 2, 3, or 10, 20, 30, or 0.01, 0.02, 0.03.

Learn about decimals:

Zoom in and look at: 0.6, 0.7, 0.8, 0.9, 1.0, 1.1, ...

Then ask: what is 0.9 + 0.1 ?

Do the same after zooming in further:

What is 0.09 + 0.01?

What is 0.19 + 0.01?

What is 0.99 + 0.01?

You can see how decimal place values work and get a feel for "infinite" sub-divisibility (but this tool gets into trouble around 30 decimal places).

Using

Click on number line to zoom in, shift-click to zoom out. It will zoom from where you click.

Click at left or right to scroll.

Or you can use your keyboard's arrow keys.
Up/down to zoom, left/right to move.

Try this:

Use the "right" key, you will see the counting numbers whizz past.

Stop when you reach 100.

Go back to zero (press the reset button).

Zoom in to show 0.1, 0.2, 0.3, ...

Now try tracking right. The tenths whizz by.

How long does it take to reach 100 now?

Try zooming in to 0.01, 0.02, 0.03, ...

How long does it take to track across to 100 now (if you have the patience!) ?

How much better to realise that you can zoom out a level and go up in tens. Then you can zoom in so that you are at 100.00

Test yourself. Start at 0. Use the zoom and left/right to find these numbers:

Race To 100.00357

Challenge your friends! Start at 0 (press the '0' button), then see how fast you can get to 100.00357 (you must see that number on the screen).

Least Moves

How many moves does it take to find a number?

Not against the clock but by counting the number of moves you make.

Use just the arrow keys and try to find the least number of key-presses to reach a number

(Note: A count of your keystrokes is in the bottom corner.)

How many moves does it take you to reach:

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Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

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Primary ITE PD

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We have created six professional development units designed for ITE tutors to use with primary trainee teachers when exploring how to teach maths. The first unit introduces trainee teachers to the principles of teaching for mastery, and the other units introduce the Five Big Ideas.

Each unit includes PowerPoint slides, comprehensive session notes and a handout. These resources allow an ITE tutor to run six full sessions on the ideas behind teaching for mastery, aimed at a novice audience. The structure of the units enables trainees to explore concepts and principles for themselves, as well as providing suggestions for next steps and devising their own lesson activities.

For more information about teaching for mastery in a primary context, visit our page of Podcasts, Features and Blogs, read our Case Studies, and explore our exemplification in Mastery Explained.

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Primary ITE professional development materials

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We have created six professional development units designed for ITE tutors to use with primary trainee teachers when exploring how to teach maths. The first unit introduces trainee teachers to the principles of teaching for mastery, and the other units introduce the Five Big Ideas.

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Alex Bellos writes about mathematics and is the author of the puzzle book Can You Solve My Problems?

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We have recently launched a new website. Many of the old links won't work and it could be a while before all the links to our site via search engines are up-to-date. If you have arrived here expecting specific content as a result of the link you clicked or the search you made, please try the search tool above - you should quickly find what you're looking for. If you need any further help though, do get in touch. Also, filling in the form below, with as much detail as possible, will help us keep improving the site.

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We have recently launched a new website. Many of the old links won't work and it could be a while before all the links to our site via search engines are up-to-date. If you have arrived here expecting specific content as a result of the link you clicked or the search you made, please try the search tool above - you should quickly find what you're looking for.

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Loads of Maths episodes here

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Scientific principles, theory, and the role of key figures in the advancement of science.

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Resources for the teaching and learning of mathematics, free to download.

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Video materials to support the NC

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Video material to support the implementation of the National Curriculum

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This collection of 60 short videos, filmed in a range of school classrooms in 2012 and 2013, shows teaching, and learning, in line with the three overall aims of the new National Curriculum.

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Latest Blogs

Teaching place value and not just about base ten.

...because all counters are double sided! A blog about how I use double sided counters in teaching directed number arithmetic

How I've tried to implement a few ideas from Mark McCourt's phasing learning model, in particular the practise phase

So, what is a MathsConf and why do I like them so much?

Some of the more technical details behind how I create my sketchnotes.

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Teaching place value and not just about base ten. ...because all counters are double sided! A blog about how I use double sided counters in teaching directed number arithmetic How I've tried to implement a few ideas from Mark McCourt's phasing learning model, in particular the practise phase So, what is a MathsConf and why do I like them so much?

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Go Teach Maths: Handcrafted Resources for Maths Teachers

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Homepage - Go Teach Maths: Handcrafted Resources for Maths Teachers

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Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes.

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BBC Radio 4 - Simon Singh's Numbers, Five Numbers

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Simon Singh takes a quirky look at five of the most important numbers in mathematics.

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Math Animated Gifs on Geometry, Algebra, Trigonometry and more

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Geometry, trigonometry, Algebra and calculus animated gifs that show math concepts

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CareerCrawlers: A Place Where You Learn How To Land Jobs!

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Learn how to answer common interview questions, start your own business, earn passive income, and explore the net worth of the MOST successful entrepreneurs!

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About

Forget knowledge organisers, for the maths classroom it is all about Frayer Models!

Frayer Models are an excellent way to collate key notes and examples for pupils, to support in lesson work or retrieval quizzing.

​

All of the Frayer Models featured on the site download in Microsoft Word ™ and are fully editable to suit your classroom and your pupils.

Contact

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About Forget knowledge organisers, for the maths classroom it is all about Frayer Models! Frayer Models are an excellent way to collate key notes and examples for pupils, to support in lesson work or retrieval quizzing. ​ All of the Frayer Models featured on the site download in Microsoft Word ™ and are fully editable to suit your classroom and your pupils.

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BBC Radio 4 - Simon Singh's Numbers, Another Five Numbers

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A quirky look at five numbers involved in some of the trickiest problems in mathematics.

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http://www.mrreddy.com/geometrytoolbox.swf

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EEF report

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Puzzle Index — EMMAths: Learning and Teaching

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Here are all of my puzzles, grouped by category.

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SKILLS CHECKS - free samples

Weekly skills checks and record sheets for Key Stage 1 and Year 4 to Year 13.
6 Different 'levels' for Key Stage 4

Great value for money with a school subscription costing only £60 +VAT for 12 months.
Single user subscriptions for individuals also available for only £35 + VAT for 12 months

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SKILLS CHECKS - free samples Great value for money with a school subscription costing only £60 +VAT for 12 months. Single user subscriptions for individuals also available for only £35 + VAT for 12 months

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BBC Radio 4 - Simon Singh's Numbers, A Further Five Numbers

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Five mathematical biographies, looking at the histories and uses of some special numbers.